Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements

Zhiqiang Cai; Shun Zhang

doi:10.1137/080722631

Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements

SIAM Journal on Numerical Analysis ◽

10.1137/080722631 ◽

2010 ◽

Vol 48 (1) ◽

pp. 30-52 ◽

Cited By ~ 30

Author(s):

Zhiqiang Cai ◽

Shun Zhang

Keyword(s):

Finite Elements ◽

Interface Problems ◽

Error Estimators ◽

Nonconforming Finite Elements

Download Full-text

Implicit residual error estimators for the coupling of finite elements and boundary elements

Mathematical Methods in the Applied Sciences ◽

10.1002/(sici)1099-1476(19990725)22:11<923::aid-mma27>3.0.co;2-y ◽

1999 ◽

Vol 22 (11) ◽

pp. 923-936 ◽

Cited By ~ 8

Author(s):

Ulrich Brink ◽

Ernst P. Stephan

Keyword(s):

Finite Elements ◽

Boundary Elements ◽

Residual Error ◽

Error Estimators

Download Full-text

Solving three-dimensional interface problems with immersed finite elements: A-priori error analysis

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110445 ◽

2021 ◽

pp. 110445

Author(s):

Ruchi Guo ◽

Xu Zhang

Keyword(s):

Finite Elements ◽

Error Analysis ◽

A Priori ◽

Three Dimensional ◽

Interface Problems ◽

A Priori Error Analysis ◽

Immersed Finite Elements

Download Full-text

An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements

Mathematics of Computation ◽

10.2307/2008649 ◽

1989 ◽

Vol 52 (185) ◽

pp. 1 ◽

Cited By ~ 1

Author(s):

Susanne C. Brenner

Keyword(s):

Finite Elements ◽

Multigrid Method ◽

Optimal Order ◽

Nonconforming Finite Elements

Download Full-text

3D domain decomposition method coupling conforming and nonconforming finite elements

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:1999162 ◽

1999 ◽

Vol 33 (4) ◽

pp. 771-780 ◽

Cited By ~ 4

Author(s):

Abdellatif Agouzal ◽

Laurence Lamoulie ◽

Jean-Marie Thomas

Keyword(s):

Finite Elements ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Nonconforming Finite Elements

Download Full-text

Implementation of Bilinear Nonconforming Finite Elements in an Eulerian Air Pollution Model: Results Obtained by Using the Rotational Test

Numerical Methods and Applications - Lecture Notes in Computer Science ◽

10.1007/3-540-36487-0_42 ◽

2003 ◽

pp. 379-386 ◽

Cited By ~ 1

Author(s):

Anton Antonov ◽

Krassimir Georgiev ◽

Emilia Komsalova ◽

Zahari Zlatev

Keyword(s):

Air Pollution ◽

Finite Elements ◽

Nonconforming Finite Elements ◽

Air Pollution Model

Download Full-text

Nonconforming finite elements for curved regions

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0080110 ◽

1976 ◽

pp. 1-14

Author(s):

Robert E Barnhill ◽

James H Brown

Keyword(s):

Finite Elements ◽

Nonconforming Finite Elements

Download Full-text

Nonconforming Finite Elements

Finite Element Methods and Their Applications - Scientific Computation ◽

10.1007/3-540-28078-2_2 ◽

2005 ◽

pp. 87-116

Keyword(s):

Finite Elements ◽

Nonconforming Finite Elements

Download Full-text

Linear and bilinear immersed finite elements for planar elasticity interface problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.03.012 ◽

2012 ◽

Vol 236 (18) ◽

pp. 4681-4699 ◽

Cited By ~ 34

Author(s):

Tao Lin ◽

Xu Zhang

Keyword(s):

Finite Elements ◽

Interface Problems ◽

Planar Elasticity ◽

Immersed Finite Elements

Download Full-text

Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20629 ◽

2010 ◽

Vol 28 (2) ◽

pp. 476-491 ◽

Cited By ~ 3

Author(s):

Zhiqiang Cai ◽

Shun Zhang

Keyword(s):

Posteriori Error ◽

Interface Problems ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Posteriori Error Estimators ◽

Flux Jumps

Download Full-text

Multilevel methods for 𝑃₁ nonconforming finite elements and discontinuous coefficients in three dimensions

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01963 ◽

1994 ◽

pp. 119-124 ◽

Cited By ~ 3

Author(s):

Marcus Sarkis

Keyword(s):

Finite Elements ◽

Discontinuous Coefficients ◽

Multilevel Methods ◽

Three Dimensions ◽

Nonconforming Finite Elements

Download Full-text